Graphs of functions
We have below bronze, silver and gold tutorials for our Higher Maths Graphs of Related Functions topic. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Be sure to mark your work for every exercise attempted and record your score and time taken in your recording grid.
Essential prior knowledge:-
National 5 Maths; REL 1.2
- Identifying features on quadratic graphs
- Sketching graphs of quadratic functions
Contents:-
4.1 - Graphs of related functions
4.2 - Logarithmic and exponential graphs
4.1 - Graphs of Related Functions
In this module, we learn how to draw graphs of related functions by changing the x coordinate, the y coordinate and both of them! Be sure to make your sketches neat and tidy!
Video 39: Outcome 1 - Changing the y coordinates. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 40: Outcome 2 - Changing the x coordinates. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 41: Outcome 3 - Changing both of them. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile. After this, check to see if there are any past paper questions for this module at the bottom of this page to try.
4.2 - Logarithmic and Exponential Graphs
In this module we learn about exponential and logarithmic functions and how to sketch them and identify key points. We also learn about the relationship between these two functions.
Video 42: Outcome 1 - Graphs of exponential functions. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 43: Outcome 2 - Graphs of logarithmic functions. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 44: Outcome 3 - Graphs of inverse functions. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile. After this, check to see if there are any past paper questions for this module at the bottom of this page to try.
Past Paper Questions
Multiple Choice Questions
We have below a selection of Multiple Choice Exam questions. Although the exam is not in this format any more these questions provide an excellent opportunity to quickly test you on your knowledge of the topic before you try the longer questions in the section after this. To try the questions, just click on the links below.
4.1 - Graphs of related functions
- 2019 Paper 1 Question 10
- 2015 Paper 1 Question 20
- 2013 Paper 1 Question 11
- 2012 Paper 1 Question 11
- 2011 Paper 1 Question 3
- 2010 Paper 1 Question 20
- 2008 Paper 1 Question 8
- Specimen 2 Paper 1 Question 14
- Specimen 1 Paper 1 Question 6
4.2 - Logarithmic and exponential graphs
SQA Exam Questions
You will find below a collection of Graphs of Related Functions SQA past paper questions. You should click on a question, pause the video when instructed and give the question your best shot. Then un-pause the video and watch the worked solution. If the question is from paper 1 you should NOT use a calculator. You should make this section a regular place to come back to when revising. Even if you get the correct answer, it is recommended that you try all these questions more than once at various stages throughout the year.
4.1 - Graphs of related functions
- 2023 Paper 2 Question 4
- 2022 Paper 1 Question 10
- 2017 Paper 1 Question 15
- Exemplar Paper 1 Question 8
- 2009 Paper 1 Question 23
- 2004 Paper 1 Question 4
4.2 - Logarithmic and exponential graphs
Congratulations!
You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!
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